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arXiv · 1506.01901

The $\infty$-Besov Capacity Problem

Mario Milman·Jie Xiao
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Abstract

A theory of $\infty$-Besov capacities is developed and several applications are provided. In particular, we solve an open problem in the theory of limits of the $\infty$-Besov semi-norms, we obtain new restriction-extension inequalities and we characterize the point-wise multipliers acting on the $\infty$-Besov spaces.

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Mario Milman, Jie Xiao. 2015-06-05. The $\infty$-Besov Capacity Problem. https://doi.org/10.1002/mana.201600500

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